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Finding the Fourth Proportional to 10,275.39, 15,409.44 and 3,699.81

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Solution

The fourth proportional to 10,275.39, 15,409.44 and 3,699.81 is: 5,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.39 : 15,409.44 = 3,699.81 : x
  2. Step 2: Convert to fraction form
    10,275.39/15,409.44 = 3,699.81/x
  3. Step 3: Cross multiply
    10,275.39x = 15,409.44 × 3,699.81
  4. Step 4: Simplify right side
    10,275.39x = 57,012,000.21
  5. Step 5: Solve for x
    x = 57,012,000.21/10,275.39
  6. Step 6: Final answer
    x = 5,548.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.